pith. sign in

arxiv: 2501.11387 · v1 · pith:NYKYLUQOnew · submitted 2025-01-20 · 🧮 math.AP

Universal approximations of quasilinear PDEs by finite distinguishable particle systems

Thierry Paul (LYSM) , Emmanuel Tr\'elat (LJLL (UMR\_7598) , CaGE) This is my paper
classification 🧮 math.AP
keywords distinguishablequasilinearsolutionssystemsapproximatedapproximationsdevelopmentsfinite
0
0 comments X
read the original abstract

In this paper, we prove that sufficiently regular solutions of any quasilinear PDE can be approximated by solutions of systems of N distinguishable particles, to within 1/ ln(N ). This intruiguing result is related to recent developments in graph limit theory.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. From PDEs on standard domains to self-similar particle systems on fractals

    math.AP 2026-04 unverdicted novelty 7.0

    A method maps PDEs from the unit interval to self-similar fractals via isometry and nonlocal approximations, yielding self-similar particle systems for transport, Burgers, and heat equations.